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An analogue of the Andre-Oort conjecture for products of Drinfeld modular surfaces

Karumbidza, Archie (2013-03)

Thesis (PhD)--Stellenbosch University, 2013.

Thesis

ENGLISH ABSTRACT: This thesis deals with a function eld analog of the André-Oort conjecture. The (classical) André-Oort conjecture concerns the distribution of special points on Shimura
varieties. In our case we consider the André-Oort conjecture for special points in the
product of Drinfeld modular varieties. We in particular manage to prove the André-
Oort conjecture for subvarieties in a product of two Drinfeld modular surfaces under
a characteristic assumption.